¿Cuáles son los criterios de construcción de triángulos?

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¿Cuál es la probabilidad de aparición de un número impar en una tirada de un dado?

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En una caja hay seis cubos iguales: 4 rojos y 2 azules. Si se saca uno sin ver y totalmente al azar, ¿cuál es la probabilidad de que sea rojo?



Answer :

Final answer:

The answer explains the criteria for constructing triangles and probabilities related to dice. It also touches on geometrical probability and its implications.


Explanation:

The criteria for constructing triangles are:

  1. Three sides: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
  2. Two angles and a side: The side must be between the two angles, satisfying the law of sines.
  3. Side-Angle-Side or Angle-Side-Angle: The side and the non-included angle must satisfy certain conditions.

When discussing probabilities related to dice, the outcomes are equally likely. For instance, the probability of rolling an odd number on a fair six-sided die is 3/6 or 1/2.

Geometrical probability involves determining the likelihood of events in geometric settings, such as random lines in shapes like circles, where different hypotheses lead to varied results.


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